Novel Power Conditioning Circuits for Piezoelectric Micro Power Generators

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1 Novel Power nditioning Circuits for Piezoelectric Micro Power Generators Jifeng Han, Annette von Jouanne, Triet Le, K. Mayaram, T. S. Fiez School of Electrical Engineering and mputer Science Oregon State University rvallis, OR Tel: , Fax: Abstract Low power devices promote the development of micro power generators (MPGs). This paper presents a novel power conditioning circuit (PCC) that enables maximum power extraction from a piezoelectric MPG. Synchronous rectification (SR) is employed to improve the PCC efficiency. A simplified model of the piezoelectric generator is developed for simulation. Performance of the proposed PCC is verified by PSpice simulation and experimental results. A maximum output power of 18.8µW has been extracted from a single piezoelectric MPG. Arbitrary waveform generator representation (AWGR) of the flexing piezoelectric membrane is also presented. The hardware AWGR enables research on the PCC without the need for the actual MPG heat engine or bulge tester used to flex the piezoelectric membrane, and also demonstrates the feasibility of cascading many MPGs to extract additional power. I. INTRODUCTION The appearance of wearable electronic devices, such as mobile telephones and Personal Digital Assistants (PDAs) among others, has transformed the way people communicate and network. Wireless integrated network sensors (WINS) are widely used in civil and military applications. Advances in integrated circuit technology, following Moore s Law, have enabled the reduction of the size/weight and energy requirement of these devices. For example, by 25, the power consumption of the Bluetooth communication technique will drop from 12.5mW (in 1998) to 5.1mW [1]. Usually, the above low power devices are powered by bulky batteries with a short service life. Battery replacement may also be difficult in applications such as unattended sensors. An attractive alternative to batteries is micro power generators (MPGs), which have recently gained increased attention. An MPG is expected to be fivetoten times smaller than a comparable battery [2], and features enhanced performance. Some MPGs can scavenge attainable energy from the environment of the system and convert it into useful electrical energy [3][5]. Feasibility of scavenging energy from human body/activities has been studied [1], [3], [6]. In [6], it is estimated that at least 5mW of useful electrical power can be harvested from usual clothes such as a cap. Therefore, it is possible to feed wearable systems from body heat dissipation via electrothermal conversion. In [3], researchers demonstrated that when people walk, parasitic power in shoes could be harvested to power a radio frequency tag that transmits a shortrange, 12bit wireless identification (ID) code. Other attainable ambient energy sources include mechanical energy [5], acoustic energy [7], etc. In [5], a system was proposed to convert ambient mechanical vibration into electrical energy, with an approximate net output power of 8µW. However, little attention has been paid on how to extract maximum power from MPGs. In [8], an adaptive piezoelectric energy harvesting circuit was proposed to harvest maximum power from the vibrating piezoelectric transducer. However, the first stage of this circuit is a simple diode bridge rectifier, which is unsuitable for lowvoltage MPGs whose output voltage is comparable to a diode forward voltage drop. This paper will focus on the design of a power conditioning circuit (PCC) for use in conjunction with the MEMSbased P 3 micro heat engine power generation system proposed by researchers at Washington State University [9]. A single P 3 micro heat engine is expected to provide 1mW of continuous power with a power density of 1W/cm 3 and energy density of 1Whr/kg. This paper proposes a novel PCC based on synchronous rectification and charge pump techniques. The PCC draws useful electric power from the P 3 engine and converts it to the regulated voltage. In lowoutputvoltage switchmode power supplies (SMPSs), synchronous rectification (SR) has already been widely applied to improve power supply efficiency [1]. In this paper, SR is applied to the PCC for improved efficiency. The proofofconcept demonstration includes a manually operated charge pump and a 1.5V analog watch. This paper is organized as follows. Section II presents proofofconcept demonstration and proposes the novel PCC. In section III, the proposed PCC is verified by PSpice simulation. The experimental setup, results and discussion are presented in sections IV and V, respectively. Arbitrary waveform generator representation (AWGR) of the PZT membrane is presented in section VI. Finally, section VII summarizes this paper. II. POWER CONDITIONING CIRCUIT In the P 3 engine, piezoelectric membranes generate an unregulated ac voltage. However, the targeted loads require regulated dc voltage. Therefore, a PCC is needed to draw useful electric power from the P 3 engine and convert it to the regulated dc voltage. The PCC should also enable maximum power extraction from the P 3 engine. The proposed PCC includes two stages: a rectifier as the first stage, and a dcdc converter as the second stage. Final design implementations could integrate the PCC on a single chip, resulting in further miniaturization. nventional dcdc converters such as buckboost converters feature high efficiency but they need bulky /4/$17. (C) 24 IEEE. 1541

2 4Stage Charge Pump S4 1N4152 S3 S2 S1 S11 Piezoelectric Generator Rc C1 S8 C2 S9 C3 1uF 1uF 1uF S1 C4 1uF Vo =1.5V Analog Watch S5 S6 S7 magnetic components. The charge pump is a promising dcdc converter in that it is composed of capacitors and MOSFETs, which could be integrated on a single chip for final implementation designs. The fact that the piezoelectric membrane is capacitive also makes a charge pump dcdc converter more attractive. A. Proofofncept Demonstration For the purpose of proofofconcept demonstration, a totally passive PCC has been designed, as shown in Fig. 1. Diode D 1 rectifies the ac output of the P 3 engine. The 4stage charge pump is operated manually through four toggle switches. The load is an analog wristwatch. At the beginning of the project, a polyvinyldifluoride (PVDF) membrane served as the piezoelectric generator. The 4stage charge pump has two operation stages: first, aluminum electrolytic capacitors C 1 C 4 are arranged in parallel, and charged to.39v in about 2 minutes with no load; second, the four capacitors are connected in series to get 1.56V dc voltage, which runs the wristwatch for 5 seconds. Although the delivered power is very low, the simple demonstration does show that the system works. The resistor R C helps to extract additional power from the piezoelectric membrane. Fig. 2 shows the relations between the capacitor charging time and capacitor terminal voltage at different R C values. Four 1µF capacitors were charged to 1.Vdc in parallel. Different R C values were tested. The peaktopeak output voltage of the piezoelectric generator is 2.9V. When R C =45kΩ, the charging time is minimized, about 8.5 times less than the case without R C. Capacitor voltage (V) Fig. 1. Demonstration of completely passive proofofconcept PCC for MPG. 34.2k Ohm 45k Ohm 96.9k Ohm no resistor B. Proposed Power nditioning Circuit At the current stage of the project, 21layer lead zirconate titanate (PZT) membranes have been adopted as the piezoelectric generator. The output voltage of a single PZT membrane is in the range of V PP. In this case, the diode rectifier s forwardvoltage drop constitutes a significant fraction of the PZT output voltage. Even the commonly used Schottky diodes still have a relatively large voltage drop. Therefore, rectification is a nontrivial issue. In this paper, synchronous rectification is employed to improve the PCC efficiency, as shown in Fig. 3. The comparator senses the sourcedrain voltage of the Nchannel MOSFET. The MOSFET can only work in the third quadrant, i.e., it only conducts when the source of the MOSFET is positive with respect to its drain. The MOSFET body diode would not be forwardbiased due to the very low onstate resistance R DS of the MOSFET. When the drain of the MOSFET is positive with respect to its source, the body diode is reversebiased. Piezoelectric Generator S M2 D S U1 M1 U2 Synchronous Rectifier D Charge Pump Charging time (seconds) Fig. 3. Proposed PCC with synchronous rectification. Fig. 2. The effect of Rc on the capacitor charging time. 1542

3 III. PSPICE SIMULATION In this section, possible rectifier topologies in the PCC are simulated with PSpice. Fig. 4 (a) shows the commonly used Van Dyke s model for representing the equivalent circuit of a piezoelectric membrane. L 1, C 1, and R 1 are mass, elastic compliance and mechanical damping transformed into electrical magnitude by the piezoelectric effect, respectively. C is the capacitance in the absence of mechanical deformation at the resonant frequency [11]. From the viewpoint of power extraction, the PZT should work at resonance. Therefore, instead of using Van Dyke s model in the simulation, a simplified model as shown in Fig. 4 (b) has been developed for PSpice simulation. The effectiveness of the simplified model will be verified in section V. By using this simplified model, PCC designers need not worry about the complex parameters of the piezoelectric generator. The parameters in the simplified model were obtained with an HP4284A Precision LCR Meter. Magnitude Fig. 5. FFT of an actual PZT output waveform. 31.4nF 47 Harmonic order PZT equivalent model Rc 31.4nF 47 (a) Scheme I: dioderesistor pair rectifier. L1 R1 C 31.4nF 47 C1 PZT equivalent model D2 (a) Van Dyke s model (b) Simplified model Fig. 4. Equivalent model of the piezoelectric generator. In the PSpice simulation, in order to generate the same waveforms as a real P 3 cell, the harmonics of the PZT output waveform were computed with Matlab. The result is shown in Fig. 5. The 2 nd 7 th harmonics were considered in the PSpice model. Three schemes as shown in Fig. 6 are considered to be possible rectifier topologies and are compared in the simulation. Scheme I is taken from the proofofconcept demonstration in Fig. 1. Scheme II replaces R C in scheme I with a diode, looking like an acdc voltage doubler [12], which is shown in Fig. 7. The difference is that in scheme II, the inherent capacitance of the piezoelectric membrane is uncontrollable for PCC designers. Scheme III employs the SR technique and is expected to further increase the extracted power from the piezoelectric generator. Fig. 8 shows the PSpice schematic and simulation waveforms for scheme III. mparison of the simulation results for the three schemes is shown in Fig. 13. The PSpice simulation shows that the maximum extracted power with scheme II and scheme III are 225% and 412%, respectively, of that with scheme I. (b) Scheme II: diodediode pair rectifier. 31.4nF 47 PZT equivalent model (c) Scheme III: synchronous rectifier. Fig. 6. Possible rectification topologies C1 VC1=E D2 Vin=Esinwt V=2E U1 M1 Fig. 7. An acdc voltage doubler. S D S M2 D U2 1543

4 V1 V2 V3 V4 V5 V6 V7 C1 R1 Q U1A V V OUT 2 V V Q1 OUT U1B 5 6 C V9 V8 3.3V 3.3V membrane, which generates an ac voltage. The PCC then converts this ac voltage into the regulated dc voltage required by the load. The actuator is driven by a sine wave input in the range of 2Vac12Vac, provided by a programmable source, in the Motor Systems Resource Facility (MSRF) at Oregon State University. A dc power supply is connected in series to the programmable source to provide the necessary offset. Fig. 1 shows the photos of the bulge tester and the wafer within its holder (a) Schematic 1.175V 1.15V SEL>> 1.1V 2.V V(:2) V 2.V 2.V V V(R1:2) 2.V 4.472s 4.476s 4.48s 4.484s 4.488s 4.492s s V(V1:) Time (b) Simulation waveforms. Upper: dc output voltage; Middle: PZT output with load; Bottom: PZT output with no load Fig. 8. PSpice simulation for scheme III. IV. EXPERIMENTAL SETUP The experimental setup is shown in Fig. 9. It is based on the bulge tester and the PZT membranes provided by coresearchers at Washington State University. The bulge tester is used to simulate the action of the micro heat engine that drives the PZT membranes [13]. PZT membranes of different sizes are fabricated on a wafer. An actuator in the bulge tester provides the periodic mechanical excitation to the PZT Fig. 1. Photos of (a) Bulge tester, and (b) Wafer and its holder. V. EXPERIMENTAL RESULTS AND DISCUSSION The three rectification schemes in Fig. 6 were tested with the bulge tester. The PZT membranes resonant frequency is about 4Hz. Fig. 11 (a) shows a typical PZT output voltage waveform during no load. Fig. 11 (b) and (c) shows the scheme III dc output voltage and PZT terminal voltage waveform, respectively, for a 7.6kΩ resistive load. The extracted powers at different loads for the three rectification schemes are shown in Fig. 13. From Fig. 13, it can be noted that scheme I can extract a maximum power of 3.7µW for an 8kΩ load. The maximum power extracted by scheme II and scheme III is 212% and 58% of that of scheme I, respectively. Also, in Fig. 13, the PSpice simulation results coincide very well with the test results of the bulge tester. Hence, the simplified model for the piezoelectric generator used in PSpice simulation is verified. For scheme III, the power consumption of the comparators should not present a problem, since offtheshelf comparators with a supply current of only.38µa are PZT Membrane 12kVA Programmable Source in MSRF DC Power Supply Actuator Power nditioning Circuit Regulated DC Voltage Load Bulge Tester Fig. 9. Experimental setup. 1544

5 currently available. nsidering this power consumption (3V, 2.28µW for two comparators), the extracted power is still 447% of that of scheme I. With the PCC integrated on a single chip in final implementation designs, the comparator power consumption would be further decreased. A low power rechargeable buttoncell battery can start up the circuit. During normal operation of the MPG, the battery will be trickle charged. In fact, scheme III has another potential advantage. A simple study on Fig. 6 (c) shows that the body diodes of the two MOSFETs have actually formed a diodediode pair rectifier, i.e., scheme II. If there are no power supplies for the comparators, then scheme III will be degraded into scheme II, and there will still be dc output voltage. This voltage can then be regulated with onchip charge pumps to drive the comparators, and scheme III will be activated, i.e., the circuit can be selfstarted. Therefore, it is possible to develop a totally passive PCC with scheme III. (a) No load PZT output voltage waveform VI. ARBITRARY WAVEFORM GENERATOR REPRESENTATION OF THE PZT MEMBRANE Since the power level of a single generator cell is very low, in order to achieve higher power, it is necessary to connect many cells in series or in parallel according to the load requirements. At the current stage of the project, it is obviously impractical to build many bulge testers for high power experiments. An alternative to the bulge tester is to develop a representative system with an arbitrary waveform generator and the necessary interfacing circuits. A hardware arbitrary waveform generator representation (AWGR) of a generator cell has been developed, as shown in Fig. 12. In addition to demonstrating cascading MPGs, the AWGR enables research on the PCC without the need for the actual MPG heat engine or bulge tester used to flex the piezoelectric membrane. The interface circuit is obtained with the PZT impedance parameters. The actual waveform of a P 3 cell is transferred to the arbitrary function generator AFG31 via GPIB cable. All three rectifier schemes were studied with the AWGR, and the results are again shown in Fig. 13 for comparison. Fig. 13 shows that the AWGR test results are very close to that of the bulge tester. Fig. 14 shows some waveforms for scheme III for an 8kΩ load. The terminal voltage and current of the interface circuit can be measured to calculate the input power of the PCC. Therefore, the rectifier efficiency can be evaluated. For an 8kΩ resistive load, the efficiency of scheme I, II, and III is 34%, 57%, and 92%, respectively. mpared to the bulge tester, the AWGR is programmable, flexible, more robust, and easier to operate. Therefore, tests can be performed on the AWGR, rather than directly on the bulge tester. For example, a P 3 engine has been stacked with the AWGR in series. After the PZT and AWGR were synchronized, i.e., acquired the same frequency and phase, their outputs were added up successfully. This experiment shows the feasibility of cascading many P 3 engines in the future to achieve increased output power. AWGR (b) dc output voltage waveform for a 7.6kΩ load AFG31 Interface circuit Power conditioning circiuit Regulated DC Voltage (c) PZT terminal voltage waveform for a 7.6kΩ load Fig. 11. PZT output waveforms from the bulge tester. Load Fig. 12. Schematic of the AWGR. 1545

6 2 scheme I: AWGR scheme II: AWGR scheme III: AWGR scheme I: PSpice scheme II: PSpice scheme III: PSpice scheme I: PZT scheme II: PZT scheme III: PZT Output Power (micro Watts) Load Resistance (k Ohms) Fig. 13. mparison of PSpice simulation, bulge tester and AWGR test results for the three rectifier schemes. ACKNOWLEDGEMENTS The financial support for this project was provided by the Defense Advanced Research Projects Agency (DARPA). Fig. 14. AWGR waveforms. Upper: dc output voltage for an 8kΩ load; Middle: AWGR terminal voltage for an 8kΩ load; Bottom: AWGR terminal voltage during no load. VII. CONCLUSIONS Low power devices promote the development of micro power generators (MPGs). A novel power conditioning circuit (PCC) is proposed to extract maximum power from an MPG, using synchronous rectification (SR) technology applied to the primary side of the PCC. Proofofconcept demonstration includes a 4stage completely passive charge pump driving an analog wristwatch, proving proper operation of the entire P 3 micro power system. A simplified model of the piezoelectric generator is developed and verified through PSpice simulation. Performance of the proposed PCC is also verified by PSpice simulation as well as experimentally. A maximum output power of 18.8µW can be extracted from a single piezoelectric MPG, with 92% efficiency in the rectifier stage. Arbitrary waveform generator representation (AWGR) of the flexing piezoelectric membrane is also presented. The hardware AWGR facilitates research on the PCC and demonstrates the feasibility of cascading many MPGs to extract additional power. REFERENCES [1] F. Moll, and A. Rubio, Human Powered Piezoelectric Batteries to Supply Power of Wereables Electronic Devices, Int. J. Soc. Mater. Eng. Resour., Vol. 1 No 1 Mar. 22, pp 344. [2] Micro Power Generation: Overview. [3] N. S. Shenck, et al, Energy Scavenging with ShoeMounted Piezoelectrics, IEEE Micro, Vol. 21, No.3, May/June 21, pp.342. [4] T. Starner, Human Powered Wearable mputing, IBM Syst. J., vol.35, nos. 3/4, 1996, pp [5] S. Meninger, et al, VibrationtoElectric Energy nversion, IEEE Trans. VLSI Systems, Vol. 9, 21, pp. 6476, 21. [6] F. Moll, and A. Rubio, An approach to the analysis of wearable bodypower system, MIXDES 2, June 2. [7] S. Horowitz, et al, Technology Development for SelfPowered Sensors, AIAA Paper 22272, the 1st Flow ntrol nference, June 22. [8] G. K. Ottman, et al, Adaptive Piezoelectric Energy Harvesting Circuit for Wireless Remote Power Supply, IEEE Trans. on Power Electronics, vol. 17, No. 5, Sep. 22, pp [9] S. Whalen, et al., "Design, Fabrication and Testing of the P3 Micro Heat Engine," Sensors and Actuators, In Press, Jan. 23. [1] N. Mohan, et al, Power Electronics nverters, Applications, and Design, 2 nd ed., John Wiley & Sons. INC., New York, [11] B. Jaffe, W. R. ok, and H. Jaffe, Piezoelectric Ceramics, Academic Press, London, [12] P. M. Lin and Leon O. Chua, Topological Generation and Analysis of Voltage Multiplier Circuits, IEEE Trans. on Circuits and Systems, Vol. CAS24, No. 1, Oct. 1977, pp [13] J. D. Hall, N. E. Apperson, B. T. Crozier, C. Xu, R. F.Richards, D. F. Bahr, and C. D. Richards, "A Facility for Characterizing the Dynamic Mechanical Behavior of Thin Film Membranes for Microelectromechanical Systems", Review of Scientific Instruments, Vol. 73, pp ,

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